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3680257 = 72811871
BaseRepresentation
bin1110000010100000000001
320220222100211
432002200001
51420232012
6210514121
743165420
oct16024001
96828324
103680257
112094039
121295941
139bb189
146bb2b7
154ca6a7
hex382801

3680257 has 8 divisors (see below), whose sum is σ = 4223232. Its totient is φ = 3141600.

The previous prime is 3680249. The next prime is 3680263. The reversal of 3680257 is 7520863.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3680257 - 23 = 3680249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3680657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032 + ... + 2902.

It is an arithmetic number, because the mean of its divisors is an integer number (527904).

It is a Proth number, since it is equal to 1797 ⋅ 211 + 1 and 1797 < 211.

Almost surely, 23680257 is an apocalyptic number.

It is an amenable number.

3680257 is a deficient number, since it is larger than the sum of its proper divisors (542975).

3680257 is a wasteful number, since it uses less digits than its factorization.

3680257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3680257 is about 1918.3995934111. The cubic root of 3680257 is about 154.3924465194.

Subtracting 3680257 from its reverse (7520863), we obtain a triangular number (3840606 = T2771).

The spelling of 3680257 in words is "three million, six hundred eighty thousand, two hundred fifty-seven".

Divisors: 1 7 281 1871 1967 13097 525751 3680257